Question

Using SSS, SAS, ASA, & AAS WITH CONGRUENT TRIANGLES For each problem below, state each of the following: a ) state the congruent parts b )state how the triangles are congruent c ) state the congruence

Answer 1

Given two triangles, ADB and CBD

So,

1. the measure of < D = the measure of angle < B

2. CB = AD

3. BD = DB

so, the triangle ADB is congruent to the triangle CBD by SAS [ side - angle - side ]

So, the corresponding parts are congruent :

So,

1. the measure of angle A = the measure of angle C

2. the measure of angle B = the measure of angle D

3. AB = CD